The system of differential equations where 4340 9 -1 2 -9 has a general solution x₂ (t) = x' x₁ (1) Im (eta) Im (e^¹² b) Im (etc) x(t) = C₁x₁ (t) + C2x2(t)+C3x3 (1) = Re (eta) Re (e^b) Re (etc) 1 1- 1
The system of differential equations where 4340 9 -1 2 -9 has a general solution x₂ (t) = x' x₁ (1) Im (eta) Im (e^¹² b) Im (etc) x(t) = C₁x₁ (t) + C2x2(t)+C3x3 (1) = Re (eta) Re (e^b) Re (etc) 1 1- 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The system of differential equations
has a general solution
where
x₂ (t) =
=
=
x₁ (t)
Im (ea)
Im (e^¹¹b)
Im (e^tc)
3
9
-9
=
0
1
2
4 -1
-1
x(t) = C₁x₁ (t) + C2x2 (1)+c3x3 (t)
X
Re (e^₁¹ a)
Re (e^₁¹b)
Re (e^¹¹ c)
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